Extensions of classical matrix inequalities
β Scribed by Marvin Marcus; Henry Minc
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 963 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
Using the theory of connections developed in a paper by Kubo and Ando, operator versions of many classical inequalities are obtained. Finally, it is shown how abstract solidarities, an extension of the Kubo-Ando theory, can be used to obtain operator inequalities.
We offer a new proof of the well-known Steffensen Inequality, whose context is sufficiently general that it engenders a number of extensions.
We evaluate two determinants. The first is a q, h-extension of the classical confluent extension of the Vandermonde determinant. The second is a similar extension of Cauchy's double alternant.